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Coherence, space non-locality and lacunarity in a cascade model of turbulence

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Piero Olla (ISIATA-CNR, Lecce, Italy), Paolo Paradisi (FISBAT-CNR, Bologna

chao-dyn · Submitted 16 Apr 1998

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim These properties are parametrized in terms of a set of scale ratios, giving the typical interaction distances in space and scale of the random field fluctuations, and the characteristic lengths over which these fluctuations act coherently to generate intermittency.

how it is stated · asserted 0.99 read the record →

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arXiv IDchao-dyn/9804029 (version 1)
CitationBologna, Italy), Lecce, Paolo Paradisi (FISBAT-CNR, Piero Olla (ISIATA-CNR. "Coherence, space non-locality and lacunarity in a cascade model of turbulence." arXiv:chao-dyn/9804029 (1998). https://pith.science/paper/chao-dyn/9804029
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,935 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.14 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.29 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We use multiscale-multispace correlations and Fourier transform techniques, to study some intermittent random field properties, which escape analysis by structure function scaling. These properties are parametrized in terms of a set of scale ratios, giving the typical interaction distances in space and scale of the random field fluctuations, and the characteristic lengths over which these fluctuations act coherently to generate intermittency. The relevance of these techniques in turbulence theory is discussed.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We use multiscale-multispace correlations and Fourier transform techniques, to study some intermittent random field properties, which escape analysis by structure function scaling. method 0.63 0.94 0.07 asserted 0.97
s1 These properties are parametrized in terms of a set of scale ratios, giving the typical interaction distances in space and scale of the random field fluctuations, and the characteristic lengths over which these fluctuations act coherently to generate intermittency. method 0.60 0.70 0.18 asserted 0.99
s2 The relevance of these techniques in turbulence theory is discussed. interpretation 0.86 0.30 0.05 unclear 0.82

What kind of paper the classifier reports this is: method or tool 0.89 · evidence from simulation or computation 0.45.

What was examined, and what was not

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  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We use multiscale-multispace correlations and Fourier transform techniques, to study some intermittent random field properties, which escape analysis by structure function scaling. These properties are parametrized in terms of a set of scale ratios, giving the typical interaction distances in space and scale of the random field fluctuations, and the characteristic lengths over which these fluctuations act coherently to generate intermittency. The relevance of these techniques in turbulence theory is discussed.

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